Novel position-space renormalization group for bond directed percolation in two dimensions

Kaya H., Erzan A.

PHYSICA A, cilt.265, ss.53-61, 1999 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 265
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0378-4371(98)00558-5
  • Dergi Adı: PHYSICA A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.53-61
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

A new position-space renormalization group approach is investigated for bond directed percolation in two dimensions. The threshold value for the bond occupation probabilities is found to be p(c) = 0.6443. Correlation length exponents on time (parallel) and space (transverse) directions are found to be nu(parallel to) = 1.719 and nu(perpendicular to) = 1.076, respectively, which are in very good agreement with the best-known series expansion results. (C) 1999 Elsevier Science B.V. Ail rights reserved.